4MA1/1HR Jan 2021, Question 14: Combining Circle Theorems
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Circle with tangent ABC at B; angle ABD = 39° and angle EFD = 18°. Find angle BDE, giving reasons.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1ABC is a tangent at B and BD is a chord, so angle BED = angle ABD = 39° (alternate segment theorem)
- 2Angle EBD and angle EFD both stand on the arc ED, so angle EBD = angle EFD = 18° (angles in the same segment are equal)
- 3In triangle BDE the three angles add up to 180°
- 4Angle BDE = 180 − (39 + 18)
- 5Angle BDE = 123°
Answer123
Stuck on a step? Read the free lesson: Combining Circle Theorems
Practise more combining circle theorems questions
Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on combining circle theorems
Also searched as: 4MA1 1HR January 2021 · 4MA1/1HR · 4ma1 jan21 1hr · question 14.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.